1. Here is a bivariate data set.

x y

55 61

60 82

47 66

49 102

67 43

44 61

53 69

Find the correlation coefficient and report it accurate to four decimal places.

r=( )

2. The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states.

x 11.9 8.3 6.8 3.9 2.8 2.7 2.4 0.4

y 14.1 11.3 10 7.3 6.6 6.6 5.8 4.4

x= thousands of automatic weapons

y= murders per 100,000 residents

This data can be modeled by the equationy=0.85 x+4.08.Use this equation to answer the following;

Special Note: I suggest you verify this equation by performing linear regression on your calculator.

A) How many murders per 100,000 residents can be expected in a state with 8.4 thousand automatic weapons?

Answer = ( )Round to 3 decimal places.

B) How many murders per 100,000 residents can be expected in a state with 5.1 thousand automatic weapons?

Answer =( )Round to 3 decimal places.

3. The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states.

x 11.4 8.1 6.7 3.3 2.3 2.6 2.1 0.7

y 13.6 10.6 9.6 6.9 5.9 6.4 6 4.9

x= thousands of automatic weapons

y= murders per 100,000 residents

Determine the regression equation in y = ax + b form and write it below. (Round to 2 decimal places) ( )

A) How many murders per 100,000 residents can be expected in a state with 2.1 thousand automatic weapons?

Answer =( )Round to 3 decimal places.

B) How many murders per 100,000 residents can be expected in a state with 7 thousand automatic weapons?

Answer = ( )Round to 3 decimal places.